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Finding the Third Proportional to 912,782 and 1,947,734

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Solution

The third proportional to 912,782 and 1,947,734 is: 4,156,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,782 : 1,947,734 = 1,947,734 : x
  2. Step 2: Convert to fraction form
    912,782/1,947,734 = 1,947,734/x
  3. Step 3: Cross multiply
    912,782x = 1,947,734 × 1,947,734
  4. Step 4: Simplify right side
    912,782x = 3,793,667,734,756
  5. Step 5: Solve for x
    x = 3,793,667,734,756/912,782
  6. Step 6: Final answer
    x = 4,156,159.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.